Meredith L. Rawls edited Physical parameters.tex  over 9 years ago

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\section{Physical parameters from light curve \& radial velocities}\label{model}  To derive physical and orbital parameters for KIC 9246715, we use the Eclipsing Light Curve (ELC) code \citep{oro00}. ELC employs photodynamical modeling with a genetic algorithm or Monte Carlo Markov Chain optimizers to simultaneously solve for a suite of stellar parameters. It is able to consider any set of input constraints simultaneously, i.e., a combination of light curves and radial velocities, and can use a full treatment of Roche geometry \citep{kop69,avn75}. It uses the NextGen model atmospheres integrated over a specified filter (in this case, the relatively broad ``white-light'' \emph{Kepler} bandpass).  To characterize the binary, we compute two sets of ELC models. The first set is done before any constraints from Section \ref{atm} are known. We use the full folded light curve together with all radial velocity points and employ ELC's ``fast analytic mode.'' This first set of models uses the equations in \citet{gim06} %\citet{gim06}  \citet{man02}  and treats the two stars as perfect spheres, which is a reasonable assumption for a well-detached binary. We use the parameters from these prelimiary models to guide the spectral disentangling process described in Section \ref{atm}.% NOT GIMENEZ, BUT INSTEAD, MANDEL & AGOL (see Jerry's emails 10/1)  The second set of ELC models uses constraints from atmosphere modeling, and breaks the light curves into ``chunks'' to search for stellar activity. One ``chunk'' is a portion of the light curve that includes one primary and one secondary eclipse and has length of order one orbital period (about 171 days for KIC 9246715). This allows us to search for stellar activity that may appear during one eclipse event only. % We keep the spherical assumption?? Or not???